Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 349 · 40 sums

The method (Letters one side, numbers the other): Open brackets: a(x − b) = ax − ab. Fractions: multiply both sides by the LCM of the denominators — x/3 + x/4 = 14 → 4x + 3x = 168. Move letter terms to one side and numbers to the other (change the sign when a term crosses =), then divide. Word problems: consecutive numbers are n, n + 1, n + 2 …; ages in y years are age + y.

1. 1.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
2. 2.Solve: 3n + 12 = n + 42. What is n?
3. 3.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
4. 4.Solve: 6(x − 5) = 2x + 2. What is x?
5. 5.Solve: p/5 + p/6 = 11. What is p?
6. 6.Solve: 8y + 10 = y + 87. What is y?
7. 7.The sum of two consecutive whole numbers is 93. What is the smallest of them?
8. 8.The sum of two consecutive whole numbers is 95. What is the smallest of them?
9. 9.Solve: 4(y − 5) = 2y + 4. What is y?
10. 10.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
11. 11.Solve: 6x + 3 = x + 23. What is x?
12. 12.The sum of four consecutive whole numbers is 206. What is the largest of them?
13. 13.Solve: 4(t − 4) = t + 38. What is t?
14. 14.The sum of four consecutive whole numbers is 130. What is the smallest of them?
15. 15.The sum of two consecutive whole numbers is 55. What is the largest of them?
16. 16.Solve: 3(n − 3) = 2n + 7. What is n?
17. 17.A father is 15 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
18. 18.Solve: 6(m − 2) = 2m + 24. What is m?
19. 19.The length of a rectangle is 14 cm more than its width. Its perimeter is 148 cm. What is its width (in cm)?
20. 20.Solve: 4n + 13 = n + 58. What is n?
21. 21.Solve: x/5 + x/3 = 40. What is x?
22. 22.Solve: 4p + 9 = p + 42. What is p?
23. 23.A father is 21 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
24. 24.The length of a rectangle is 6 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
25. 25.Solve: x/4 + x/3 = 42. What is x?
26. 26.A father is 32 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
27. 27.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
28. 28.Solve: 9p + 10 = 3p + 70. What is p?
29. 29.The sum of four consecutive whole numbers is 130. What is the largest of them?
30. 30.The sum of four consecutive whole numbers is 226. What is the largest of them?
31. 31.Solve: n/4 + n/5 = 18. What is n?
32. 32.The sum of four consecutive whole numbers is 238. What is the smallest of them?
33. 33.The length of a rectangle is 7 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
34. 34.Solve: p/3 + p/6 = 21. What is p?
35. 35.The sum of three consecutive whole numbers is 180. What is the smallest of them?
36. 36.Solve: 7x + 14 = 4x + 47. What is x?
37. 37.The length of a rectangle is 10 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
38. 38.The sum of three consecutive whole numbers is 75. What is the smallest of them?
39. 39.A father is 26 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
40. 40.The length of a rectangle is 1 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?

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